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Oscillation conditions in scalar linear delay differential equations

Published online by Cambridge University Press:  17 April 2009

István Győri
István Győri
Affiliation:
Computing Centre of the Szeged, University of Medicine, 6720 Szeged, Pecsi u. 4/a, Hungary.
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Abstract

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Sufficient conditions are obtained for all solutions of a general scalar linear functional differential equation to be oscillatory. Our main theorem concerns some particular cases of a conjecture of Hunt and Yorke.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 1 - 9
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Arino, O., Györi, I., Jawhari, A., “Oscillation criteria in delay equations”, J. Differential Equations, 53 (1984), 115–123.CrossRefGoogle Scholar
[2]Hunt, B. R., Yorke, J. A., “When all solutions of x′=−Σqi (t) x (t−Ti (t)) oscillate”, J. Differential Equations, 53 (1984). 139–145.CrossRefGoogle Scholar
[3]Györi, I., “On the asymptotic behaviour of solutions of functional differential equatiions”, Candidate thesis, Szeged, (1974), (In Hungarian).Google Scholar
[4]Györi, I., “On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations”, Nonlinear Analysis, 8 (1984), 429–439.Google Scholar